On operads, bimodules and analytic functors
著者
書誌事項
On operads, bimodules and analytic functors
(Memoirs of the American Mathematical Society, no. 1184)
American Mathematical Society, 2017
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注記
"Volume 249, number 1184 (fifth of 8 numbers), September 2017"
Bibliography: p. 107-110
内容説明・目次
内容説明
The authors develop further the theory of operads and analytic functors. In particular, they introduce the bicategory $\operatorname{OpdBim}_{\mathcal{V}}$ of operad bimodules, that has operads as $0$-cells, operad bimodules as $1$-cells and operad bimodule maps as 2-cells, and prove that it is cartesian closed. In order to obtain this result, the authors extend the theory of distributors and the formal theory of monads.
目次
Introduction
Background
Monoidal distributors
Symmetric sequences
The bicategory of operad bimodules
Cartesian closure of operad bimodules
Appendix A. A compendium of bicategorical definitions
Appendix B. A technical proof
Bibliography.
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